Anti-de Sitter black holes, perfect fluids, and holography

TL;DR

This paper demonstrates that the entropy of asymptotically anti-de Sitter black holes can be modeled by a dual weakly interacting fluid, providing insights into holography and entropy bounds in higher-dimensional spacetimes.

Contribution

It introduces a dual fluid model with a specific dispersion relation that reproduces black hole entropy and corrections, linking thermodynamics and holography in AdS spacetimes.

Findings

Reproduces Bekenstein-Hawking entropy using a dual fluid model.

Shows thermal fluctuation corrections match the fluid's entropy.

Discusses implications for entropy bounds and holography.

Abstract

We consider asymptotically anti-de Sitter black holes in $d$-spacetime dimensions in the thermodynamically stable regime. We show that the Bekenstein-Hawking entropy and its leading order corrections due to thermal fluctuations can be reproduced by a weakly interacting fluid of bosons and fermions (`dual gas') in $\Delta=\alpha(d-2)+1$ spacetime dimensions, where the energy-momentum dispersion relation for the constituents of the fluid is assumed to be $\epsilon = \kappa p^\alpha$. We examine implications of this result for entropy bounds and the holographic hypothesis.